Answer:
(1) 13.86 units.
(2) 1182.72 cubic units.
Step-by-step explanation:
Please find the attachment.
We have been given that a regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid.
(1) We can find height of pyramid using tan.

The length of opposite side will half the length of square base.





Therefore, the height of the pyramid will be 13.86 units.
(2). We know that volume of pyramid is 1/3 the product of base area and height.




Therefore, the volume of the pyramid would be 1182.72 cubic units.
Answer: -23
Step-by-step explanation:
Since we are given the value of m, all we have to do is to plug m into the expression and solve.
-23(-38+39) [parenthesis]
-23(1) [multiply]
-23
Now, we know that the expression is -23 when m=-38.
Answer:
The answer is 70 feet
Step-by-step explanation:
<h3><u>Given</u>;</h3>
- The area of therectangular billboard covered by the ribbon was approximately 4200 square feet
- The width of the billboard was approximately 60 feet.
<h3><u>To </u><u>Find</u>;</h3>
- The height of this billboard = ?
<h3><u>Formula</u>;</h3>
Here, We know the area so,
Area = Width × Height
Height = Area ÷ Width
H = 4200 ÷ 60 feet
H = 70 feet
Thus, The height of the billboard is 70 feet
<u>-TheUnknownScientist 72</u>